Home
Class 12
MATHS
Two pairs of statements p and q are give...

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " .
p : If your mind is free , then you watch T .V .
q : If you watch T . V then your mind is free .

Text Solution

Verified by Experts

The correct Answer is:
Your mind is free if and only if you watch T. V .
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise EXERCISE ( Long Answer Type Questions )|21 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type )|5 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short Answer Type Questions )|94 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise Sample questions (Assertion -Reason type C)|3 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

Similar Questions

Explore conceptually related problems

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If a tumbler is half empty , then it is half full . q : If a tumbler is half full , then it is half empty.

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If sets A and B are equal , then (AsubeB and BsubeA) q : If (AsubeB and BsubeA) , then A and B are equal sets .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . P : If a reatangle is a square then all its four sides are equal . q : If all the four sides of rectangle are equal , then it is a square .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p :If ABC is an isosceles triangle , then the base angles are equal . q : If two base angles of the traingle ABC are equal , then the traingle ABC is isosceles .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If a quadrilateral is equiangular then it is a rectangle . q : If a quadrilateral is a rectangle then it is a equiangular .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If the sum of digits in a positive integer n is divisible by 9 , then the number is divisibel by 9 q : If a positive integer n is divisible by 9 , then the sum of the digits in n is divisible by 9 .

Two component statement p and q of the conditional statement "p if and only if q " denoted by -

Given below are two pairs of statements. Combine these two statements using ''if and only if ''. p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

Rewrite each of the following statements in the form ''p if and only if q'' p: If you watch television, then your mind is free and if your mind is free, then you watch television.

Rewrite each of the following statements in the form ''p if and only if q'' q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE ( Short Answer Type Questions )
  1. Two pairs of statements p and q are given below . Combine theses two s...

    Text Solution

    |

  2. Two pairs of statements p and q are given below . Combine theses two s...

    Text Solution

    |

  3. Two pairs of statements p and q are given below . Combine theses two s...

    Text Solution

    |

  4. Two pairs of statements p and q are given below . Combine theses two s...

    Text Solution

    |

  5. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  6. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  7. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  8. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  9. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  10. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  11. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  12. Rewrite each of the following compound statements with " if ……., then ...

    Text Solution

    |

  13. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  14. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  15. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  16. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  17. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  18. Write the component statements of each of the follwing compound statem...

    Text Solution

    |

  19. Write the negation of the following statements and check whether the r...

    Text Solution

    |

  20. Write the negation of the following statements and check whether the r...

    Text Solution

    |